Mathematics 9709 · AS & A Level · Logarithmic and exponential functions

Logarithmic and exponential functions — practice question

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With all necessary working shown, solve the equation $9^x = 3^x + 12$. Give your answer correct to $2$ decimal places.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or show $u^2-u-12=0$, or an equivalent form in $3^x$

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